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49330064 = 247262921
BaseRepresentation
bin1011110000101…
…1011110010000
310102211020010102
42330023132100
5100112030224
64521151532
71136204300
oct274133620
9112736112
1049330064
1125933453
121462b5a8
13a2b24b4
1467a1600
1544e64ae
hex2f0b790

49330064 has 30 divisors (see below), whose sum is σ = 111183174. Its totient is φ = 21141120.

The previous prime is 49330063. The next prime is 49330069. The reversal of 49330064 is 46003394.

It is a happy number.

49330064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43665664 + 5664400 = 6608^2 + 2380^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (49330063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 30677 + ... + 32244.

Almost surely, 249330064 is an apocalyptic number.

It is an amenable number.

49330064 is an abundant number, since it is smaller than the sum of its proper divisors (61853110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49330064 is a wasteful number, since it uses less digits than its factorization.

49330064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62943 (or 62930 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 49330064 is about 7023.5364311720. The cubic root of 49330064 is about 366.7503691371.

The spelling of 49330064 in words is "forty-nine million, three hundred thirty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 62921 125842 251684 440447 503368 880894 1006736 1761788 3083129 3523576 6166258 7047152 12332516 24665032 49330064